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Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics

Abstract : Fully adaptive computations of the resistive magnetohydrodynamic (MHD) equations are presented in two and three space dimensions using a finite volume discretization on locally refined dyadic grids. Divergence cleaning is used to control the incompressibility constraint of the magnetic field. For automatic grid adaptation a cell-averaged multiresolution analysis is applied which guarantees the precision of the adaptive computations, while reducing CPU time and memory requirements. Implementation issues of the open source code CARMEN-MHD are discussed. To illustrate its precision and efficiency different benchmark computations including shock-cloud interaction and magnetic reconnection are presented.
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https://hal.archives-ouvertes.fr/hal-03152812
Contributor : Kai Schneider <>
Submitted on : Thursday, February 25, 2021 - 7:52:31 PM
Last modification on : Friday, February 26, 2021 - 3:26:28 AM

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Anna Karina Fontes Gomes, Margarete Oliveira Domingues, Odim Mendes, Kai Schneider. Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics. Advances in Computational Mathematics, Springer Verlag, 2021, 47 (2), ⟨10.1007/s10444-021-09845-y⟩. ⟨hal-03152812⟩

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